What is the inverse of #f(x) = 2ln(x-1)-ix-x#?

Answer 1

#f^(-1)(x)=e^(ix)-x+1##

If f"#f(x)=2"ln"(x+1)-ix-x#, then #f^(-1)(x)#is the inverse, or the reflection of #f(x)# in the line #y=x#.
So, let's make #f(x)=2"ln"(x+1)-ix-x=0#, then #2"ln"(x+1)=ix+x=i(2x)#, dividing both sides by 2 gives #f(x)="ln"(x+1)=(i(2x))/2=ix#.
As #e^("ln"(a))=a#, #e^(ln(x+1))=x+1=e^(ix)#.
Now take away #(x+1)# from both sides to make it equal 0, #0=e^(ix)-x+1#.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

The inverse of the function f(x) = 2ln(x - 1) - ix - x is not straightforward to determine without further context or constraints. In general, finding the inverse of a function involves solving for x in terms of y and may require various techniques depending on the complexity of the function.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7